A predictor-corrector scheme for solving the Volterra integral equation

Ahmed Al Jarro, Hakan Bagci

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

The occurrence of late time instabilities is a common problem of almost all time marching methods developed for solving time domain integral equations. Implicit marching algorithms are now considered stable with various efforts that have been developed for removing low and high frequency instabilities. On the other hand, literature on stabilizing explicit schemes, which might be considered more efficient since they do not require a matrix inversion at each time step, is practically non-existent. In this work, a stable but still explicit predictor-corrector scheme is proposed for solving the Volterra integral equation and its efficacy is verified numerically. © 2011 IEEE.
Original languageEnglish (US)
Title of host publication2011 XXXth URSI General Assembly and Scientific Symposium
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
ISBN (Print)9781424451173
DOIs
StatePublished - Aug 2011

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